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Finding the Third Proportional to 129,234 and 174,563

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Solution

The third proportional to 129,234 and 174,563 is: 235,791.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,234 : 174,563 = 174,563 : x
  2. Step 2: Convert to fraction form
    129,234/174,563 = 174,563/x
  3. Step 3: Cross multiply
    129,234x = 174,563 × 174,563
  4. Step 4: Simplify right side
    129,234x = 30,472,240,969
  5. Step 5: Solve for x
    x = 30,472,240,969/129,234
  6. Step 6: Final answer
    x = 235,791.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.